Description: Inference for nic-mp using nic-ax as major premise. (Contributed by Jeff Hoffman, 17-Nov-2007) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | nic-imp.1 | |- ( ph -/\ ( ch -/\ ps ) ) |
|
| Assertion | nic-imp | |- ( ( th -/\ ch ) -/\ ( ( ph -/\ th ) -/\ ( ph -/\ th ) ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nic-imp.1 | |- ( ph -/\ ( ch -/\ ps ) ) |
|
| 2 | nic-ax | |- ( ( ph -/\ ( ch -/\ ps ) ) -/\ ( ( ta -/\ ( ta -/\ ta ) ) -/\ ( ( th -/\ ch ) -/\ ( ( ph -/\ th ) -/\ ( ph -/\ th ) ) ) ) ) |
|
| 3 | 1 2 | nic-mp | |- ( ( th -/\ ch ) -/\ ( ( ph -/\ th ) -/\ ( ph -/\ th ) ) ) |